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Multi-symplectic Runge-Kutta-type methods for Hamiltonian wave equations

✍ Scribed by Liu, H.


Book ID
111870056
Publisher
Oxford University Press
Year
2006
Tongue
English
Weight
136 KB
Volume
26
Category
Article
ISSN
0272-4979

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Multi-Symplectic Runge–Kutta Collocation
✍ Sebastian Reich πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 403 KB

A number of conservative PDEs, like various wave equations, allow for a multisymplectic formulation which can be viewed as a generalization of the symplectic structure of Hamiltonian ODEs. We show that Gauss-Legendre collocation in space and time leads to multi-symplectic integrators, i.e., to numer